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Finding the Third Proportional to 11,785.50 and 15,567.19

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Solution

The third proportional to 11,785.50 and 15,567.19 is: 20,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.50 : 15,567.19 = 15,567.19 : x
  2. Step 2: Convert to fraction form
    11,785.50/15,567.19 = 15,567.19/x
  3. Step 3: Cross multiply
    11,785.50x = 15,567.19 × 15,567.19
  4. Step 4: Simplify right side
    11,785.50x = 242,337,326.66
  5. Step 5: Solve for x
    x = 242,337,326.66/11,785.50
  6. Step 6: Final answer
    x = 20,562.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.